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2211102020221 = 29421325355673
BaseRepresentation
bin100000001011001111111…
…100110101001001111101
321211101020111112121010121
4200023033330311021331
5242211314104121341
64411433301534541
7315514112032663
oct40131774651175
97741214477117
102211102020221
117827a54a1106
122b8639714451
1313067697b083
14790371dac33
153c7b0e444d1
hex202cff3527d

2211102020221 has 16 divisors (see below), whose sum is σ = 2293526061360. Its totient is φ = 2129093245440.

The previous prime is 2211102020107. The next prime is 2211102020227. The reversal of 2211102020221 is 1220202011122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 106266872196 + 2104835148025 = 325986^2 + 1450805^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211102020221 - 217 = 2211101889149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211102020195 and 2211102020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211102020227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39688041 + ... + 39743713.

It is an arithmetic number, because the mean of its divisors is an integer number (143345378835).

Almost surely, 22211102020221 is an apocalyptic number.

It is an amenable number.

2211102020221 is a deficient number, since it is larger than the sum of its proper divisors (82424041139).

2211102020221 is a wasteful number, since it uses less digits than its factorization.

2211102020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59376.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211102020221 its reverse (1220202011122), we get a palindrome (3431304031343).

Subtracting from 2211102020221 its reverse (1220202011122), we obtain a palindrome (990900009099).

The spelling of 2211102020221 in words is "two trillion, two hundred eleven billion, one hundred two million, twenty thousand, two hundred twenty-one".

Divisors: 1 29 421 3253 12209 55673 94337 1369513 1614517 23438333 39715877 181104269 679711657 5252023801 76244897249 2211102020221